Effect of flexoelectricity on elasticity characterization by nanoindentation
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hdl:2117/107133
Tipus de documentProjecte Final de Màster Oficial
Data2017-06-16
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Reconeixement 3.0 Espanya
Abstract
Flexoelectricity is a very common phenomenon in dielectrics and is a size-dependent electromechanical
mechanism coupling polarization and strain gradient. Flexoelectric effect is
significant due to higher strain gradients at nanoscale. Barium Titanate (BaT iO3) is one
of the dielectrics whose flexoelectric properties have been determined by bending tests and
nanoindentation technique. These properties estimated from these two tests have good
conformance with each other. In the following work, the estimated flexoelectric properties
have been used to evaluate the Young’s modulus of a BaT iO3 sample using nanoindentation.
The analytical solution for three indentors is available for nanoindentation technique
based on Hertz contact theory. The analytical solution for all the indentors is a function of
the radius of indentor, indentation depth , applied force, Young’s modulus and Poisson’s
ratio. Here we computationally implement the linear theory of flexoelectricity, taking
into account only the flexoelectric effect. We compute the change in indentation of the
material by varying the flexoelectric constant in range of four orders of magnitude. This
variation helps us maneuver from the macroscopic scale to the nanoscopic scale. Using
the Hertz contact theory we obtain the Young’s modulus based on the indentation depths
computed on account of variation of the flexoelectric constant. The results obtained from
this study show that the flexoelectric effect is a scale dependent phenomenon.
TitulacióMÀSTER UNIVERSITARI ERASMUS MUNDUS EN MECÀNICA COMPUTACIONAL (Pla 2013)
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MSc_Thesis_Salik_Shaikh.pdf | 4,345Mb | Visualitza/Obre |